Difference between revisions of "Nonlinear Shallow Water Waves"
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<math> | <math> | ||
| − | \frac{D \rho}{D t} (\vec{x} ,t) + \rho(\vec{x} ,t)\nabla | + | \frac{D \rho}{D t} (\vec{x} ,t) + \rho(\vec{x} ,t)\nabla \cdot u(\vec{x} ,t) = 0, x \in \Omega |
</math> | </math> | ||
| − | Since water is incompressible i.e. <math> \frac{D \rho}{D t} = 0 </math> | + | Since water is incompressible i.e. <math> \frac{D \rho}{D t} = 0 </math> and then <math> here </math> |
[[Category:789]] | [[Category:789]] | ||
Revision as of 07:37, 14 October 2008
Introduction
We want to consider
[math]\displaystyle{ \frac{D \rho}{D t} (\vec{x} ,t) + \rho(\vec{x} ,t)\nabla \cdot u(\vec{x} ,t) = 0, x \in \Omega }[/math]
Since water is incompressible i.e. [math]\displaystyle{ \frac{D \rho}{D t} = 0 }[/math] and then [math]\displaystyle{ here }[/math]
